Questions in fun-lim

Select	Question
	The period of $f(x)=x-[x]$, if it is periodic, is
	If $f(x)$ is periodic function with period $T$ then the function $f(ax+b)$ where $a>0$, is periodic with period
	If $f(x)=ax+b$ and $g(x)=cx+d$, then $f(g(x))=g(f(x))$ is equivalent to
	Domain and range of $f(x)=\frac{\|x-3\|}{x-3}$ are respectively
	If in greatest integer function, the domain is a set of real numbers, then range will be set of
	Domain of function $f(x)={{\sin }^{-1}}5x$ is
	The domain of the function $f(x)=\frac{{{\sin }^{-1}}(3-x)}{\ln (\|x\|\ -2)}$ is
	The domain of ${{\sin }^{-1}}\left[ {{\log }_{3}}\left( \frac{x}{3} \right) \right]$ is
	Domain of the function $\log \|{{x}^{2}}-9\|$ is
	Domain of $f(x)=\log \|\log x\|$ is